( no dx needed as you are taking the differential, not integrating. )
d/dx[5sqrt(X)]
rewrite as...,
d/dx[5X1/2]
use power rule [ nX(n - 1)]
= (5/2)X -1/2
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y = x2 + 3/sqrt(x) = x2 + 3*x-1/2 dy/dx = 2x + 3*(-1/2)*x-3/2 = 2x - 3/2*x-3/2
dy/dx = a
d/dx(x + 2) = d/dx(x) + d/dx(2) = 1 + 0 = 1
d/dx (3x+25)=3
d/dx(cos x) = -sinx